What is the sum from n=1 to infinity of 4/(n^6) ?

The sum from n=1 to infinity of 4/(n^6) is converges

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sum from n=1 to infinity of 4/(n^6)

n = 1 \sum \infty \frac{4}{n ^{6}}

converges

Solution steps

n = 1 \sum \infty \frac{4}{n ^{6}}

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= 4 \cdot n = 1 \sum \infty \frac{1}{n ^{6}}

Apply p-Series Test:

converges

= 4 converges

= converges

y = lo g_{10} (2 x - 1)

x \to 0 lim (\frac{tan ( 4 x )}{x})

f (x) = \frac{x}{3 x - 8}, at x = 2

y^{^{''}} - 5 y^{^{'}} + 6.25 y = 0, y (0) = 1, y^{^{'}} (0) = 0.5

x \to \infty lim (e^{x} + 1)

What is the sum from n=1 to infinity of 4/(n^6) ?
The sum from n=1 to infinity of 4/(n^6) is converges